Ordinary Differential Equations Courses and Certifications

Differential Equations for Engineers

346 reviews

This course is about differential equations and covers material that all engineers should know. Both basic theory and applications are taught.

• Coursera
• 1 day 2 hours 48 minutes
• On-Demand
• Free Online Course (Audit)

Mathematical Methods for Engineers II

Explore advanced numerical methods for engineers, covering differential equations, network flows, and optimization. Gain practical skills in solving complex mathematical problems.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Ordinary Differential Equations

Master fundamental concepts and practical applications of ordinary differential equations, from basic theory to advanced problem-solving using Matlab, with emphasis on real-world mathematical modeling and computational methods.

• XuetangX
• On-Demand
• Free Online Course

Steve Brunton

Review of Calculus and First Order Linear ODEs

Comprehensive review of calculus fundamentals and introduction to first-order linear ODEs, with practical examples and applications in engineering mathematics.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Steve Brunton

ODEs with External Forcing and the Convolution Integral

Explore inhomogeneous ODEs and convolution integrals, learning to solve differential equations with external forcing for advanced engineering applications.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Steve Brunton

ODEs with External Forcing - Inhomogeneous ODEs

Explore inhomogeneous ODEs and external forcing in engineering mathematics, covering key concepts and applications for solving complex differential equations.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Steve Brunton

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

Explore 2x2 systems of ODEs, eigenvalues, eigenvectors, and phase portraits in engineering mathematics. Learn to analyze and visualize complex dynamical systems.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Steve Brunton

Higher-Order ODEs, Characteristic Equation, Matrix Systems of First Order ODEs

Explore higher-order linear ODEs, characteristic equations, and matrix systems of first-order equations in engineering mathematics, with accompanying notes and MATLAB code.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Fields Institute

Dichotomy Interlacement Versus Hardy in Definable ODE's

Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Prof. Ryan C. Cooper

ME3255 - Shooting Method for ODE Solutions

Explore the shooting method for solving ODEs, enhancing your numerical analysis skills and problem-solving abilities in engineering applications.

• YouTube
• 14 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

ODE-BVP: Shooting Method - Lecture 1

Learn to solve boundary value problems for ODEs using the shooting method, a powerful numerical technique for finding solutions.

• YouTube
• 16 minutes
• On-Demand
• Free Video

The Julia Programming Language

Fast Probabilistic Inference for ODEs with ProbNumDiffEq.jl

Explore probabilistic ODE solvers with ProbNumDiffEq.jl. Learn Bayesian inference for numerical problems, implementation details, and future prospects in the Julia ecosystem.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Gautam Varde

Euler Cauchy Equations - Numericals for Ordinary Differential Equations of Higher Order

Solve complex Euler Cauchy equations through step-by-step numerical examples, enhancing understanding of higher-order ordinary differential equations in mathematics.

• YouTube
• 14 minutes
• On-Demand
• Free Video

Gautam Varde

Ordinary Differential Equations of Higher Orders - Problems and Examples

Solve complex mathematical challenges with step-by-step guidance on higher-order ordinary differential equations, enhancing problem-solving skills in advanced calculus.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Gautam Varde

Exact Differential Equation Problems - Ordinary Differential Equations

Solve complex exact differential equations through step-by-step problem-solving techniques, enhancing your skills in ordinary differential equations and mathematical analysis.

• YouTube
• 12 minutes
• On-Demand
• Free Video